Finite set and Semilattice

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Difference between Finite set and Semilattice

Finite set vs. Semilattice

In mathematics, a finite set is a set that has a finite number of elements. In mathematics, a join-semilattice (or upper semilattice) is a partially ordered set that has a join (a least upper bound) for any nonempty finite subset.

Similarities between Finite set and Semilattice

Finite set and Semilattice have 8 things in common (in Unionpedia): Empty set, Free lattice, Join and meet, Model theory, Partially ordered set, Set (mathematics), Subset, Well-order.

Empty set

In mathematics, and more specifically set theory, the empty set or null set is the unique set having no elements; its size or cardinality (count of elements in a set) is zero.

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Free lattice

In mathematics, in the area of order theory, a free lattice is the free object corresponding to a lattice.

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Join and meet

In a partially ordered set P, the join and meet of a subset S are respectively the supremum (least upper bound) of S, denoted ⋁S, and infimum (greatest lower bound) of S, denoted ⋀S.

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Model theory

In mathematics, model theory is the study of classes of mathematical structures (e.g. groups, fields, graphs, universes of set theory) from the perspective of mathematical logic.

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Partially ordered set

In mathematics, especially order theory, a partially ordered set (also poset) formalizes and generalizes the intuitive concept of an ordering, sequencing, or arrangement of the elements of a set.

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Set (mathematics)

In mathematics, a set is a collection of distinct objects, considered as an object in its own right.

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Subset

In mathematics, a set A is a subset of a set B, or equivalently B is a superset of A, if A is "contained" inside B, that is, all elements of A are also elements of B. A and B may coincide.

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Well-order

In mathematics, a well-order (or well-ordering or well-order relation) on a set S is a total order on S with the property that every non-empty subset of S has a least element in this ordering.

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The list above answers the following questions

What Finite set and Semilattice have in common
What are the similarities between Finite set and Semilattice

Finite set and Semilattice Comparison

Finite set has 63 relations, while Semilattice has 59. As they have in common 8, the Jaccard index is 6.56% = 8 / (63 + 59).

References

This article shows the relationship between Finite set and Semilattice. To access each article from which the information was extracted, please visit:

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